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Title: New point view of spectral gap in functional spaces for birth-death processes.
Authors: Ma, Yutao; Mao, Yonghua
Abstract: Constructing some proper functional spaces, we obtain the corresponding norm for the operator (−ℒ), and then, via spectral theory, we revisit two variational formulas of the spectral gap, given by M. F. Chen [Front. Math. China, 2010, 5(3): 379-515], for transient birth-death processes.
Subjects: FUNCTIONAL analysis; MARKOV operators; SPECTRAL theory; STOCHASTIC analysis; TRANSIENT analysis
Publication: Frontiers of Mathematics in China, 2014, Vol 9, Issue 3, p523
ISSN: 1673-3452
Publication type: Academic Journal
DOI: 10.1007/s11464-013-0276-z

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New point view of spectral gap in functional spaces for birth-death processes.